If an object is moving with uniform velocity and acceleration, it implies that the acceleration is zero. In such a case, the object will continue to move at a constant velocity throughout its motion.
To calculate the total time and distance traveled by the object, given the starting point and ending point, you need to know the initial velocity, the final velocity, and the time it takes to travel between the two points.
Let's break down the calculation into two cases:
Case 1: When the object moves with uniform velocity (zero acceleration): If the object is moving with a constant velocity, you can calculate the time and distance by using the following formula:
Distance = Final Position - Initial Position Time = Distance / Velocity
In this case, the total time and distance traveled will be equal to the values calculated using the above formulas.
Case 2: When the object moves with uniform acceleration (not applicable for total time and distance): If the object is moving with uniform acceleration, the velocity will be changing over time, and the motion will not be at a constant velocity. In this case, you cannot calculate the total time and distance traveled using just the starting and ending points. You would need additional information such as the acceleration or time taken to reach the final velocity.
However, you can calculate the displacement (change in position) of the object using the following formula, assuming the initial velocity is zero:
Displacement = (1/2) * acceleration * time^2
Keep in mind that this formula calculates the displacement, not the total distance traveled. Additionally, it assumes the initial velocity is zero. If the initial velocity is not zero, you need to account for it in the calculation.
To summarize, if the object has a constant velocity (zero acceleration), you can calculate the total time and distance traveled directly from the initial and final positions. If the object has uniform acceleration, you need additional information to calculate the total time and distance traveled.